Stat 2610 -- Applied Statistics

Instructor: Todd Frauenholtz

Web Assign where the class key is: bemidjistate 0467 4731
Office: 372 HS Phone: (218) 755-2817

Class meets: M, T, W, F in HS 230 from 1:00 - 1:50 pm

Office hours: M, T, W, F from 10:00 - 10:50 am and by other arrangement

Current Grade Sheet

Required Text: Understandable Statistics: Concepts and Methods, WITH Web Assign by Brase & Brase 11th ed.

Prerequisite:            Three years of high school mathematics and an appropriate score on the Mathematics Placement Test or completion of MATH 1100 or MATH 1110 with a grade of B or better. 

Description:           A nontheoretical introduction to statistics with an emphasis on applications in a variety of disciplines. Topics include measures of central tendency, position and dispersion; basic probability; hypothesis testing; estimation; analysis of variance; linear correlation and regression; nonparametric statistics. Prerequisite: Three years of high school mathematics (including two years of algebra) and an appropriate score on the Mathematics Placement Test, or completion of MATH 1170 or higher.

Goals and objectives of the course:

Upon completion of this course, the student will be prepared to interpret and use statistics that they encounter both in connection with their discipline and in everyday life. The student will also be able to conduct basic statistical inference.


Class participation and quizzes:
            Quizzes will be given approximately every week and generally unannounced.  Make-ups will not be allowed for missed quizzes; however, your lowest quiz score will be dropped from calculating your final grade.  All cell phones must be turned off during class.

Homework:            Will prepare you for the quizzes and exams.  You are responsible for understanding how to do each problem; I recommend study groups of three to four. Each student is expected to attempt one of the homework questions at the board sometime during the semester.

Exams:            There will be three exams during the semester. The final exam will be Thursday, December 10th from 3:30 - 5:30 pm.

Grades:            Grades for this course will be based upon homework, quizzes, tests, and a comprehensive final exam; some of the quizzes may be unannounced.  Items for both will come from the assigned homework.  The following grading scale will be used to determine grades:

A 90 – 100 %
B 80 – 89 %
C 70 – 79 %
D 60 – 69 %
F Below 60%

Make-ups are not allowed for missed quizzes, instead I will allow you to drop your lowest score.  All tests will count toward your final grade.  The instructor reserves the right to adjust the grading scale if necessary.

Working through the assigned problems is essential to learning mathematics.  Showing your work is the only way to receive partial credit; hence it is very important on quizzes and exams.

Current Grade Sheet

Students with Special Needs
Upon request this document can be made available in alternate formats.  Please contact the instructor or Kathi Hagen in the Disability Services Office at 755-3883.  Please contact the Disability Services Office ONLY if you have a need for accommodations in this class.  All other contact should be with your instructor.  

Student Rights and Responsibilities

Student Code of Ethics
http://www.bemidjistate.edu/academics/catalog/10catalog/GradCatalog/Frontpages/sectionIV/rights.html              

Student Academic Rights and Responsibilities
http://www.bemidjistate.edu/students/handbook/policies/academic_integrity/rights_responsibilities.cfm 

 


Daily Course Outline

Aug 24

Webassign directions and assignment one. Section 1.1with key terms: ordinal, nominal, parameter, statistic, descriptive and inferential

Aug 25

Section 1.2 Sampling a population -- Random, Stratified, Systematic, Cluster, Multistage, and Convenience. Describing our class height with Post-It notes

Aug 26

Section 1.3 Experimental design -- Population, sample, experiment, simulation, census, observation, confounding, & lurking variables. Prepare for a surprise quiz -- describe what will it look like.

Aug 21

Review terms, blocking and assigning (assign 1.3, #7), surprise quiz #1

Aug 31

 

Sept 1

Borders, limits, stem & leaf, frequencies, relative frequencies, cumulative frequencies, histograms

Sept 2

Ogive graph, circle graph, Pareto charts

Sept 4

Measures of center -- mean, median, and mode

Sept 9

Measures of dispersion (or spread) -- range and standard deviation

Sept 10

Box - N - Whisker plots, weighted averages

Sept 11

Review for test -- sampling, distribution, circle graphs, histograms, measures of center, measures of spread...

Sept 14

Wrap-up chapter three, prepare for Friday's exam. Introduce probability. Sample space, ...

Sept 15 Begin ch. 4 on probability -- expressing probability as a number from 0 to 1(decimal or fraction), sample space, odds, mutually exclusive
Sept 16 Compound events, tree diagrams
Sept 18

TEST #1 -- covering chapters one through three

Discrete & continuous probability distributions. Quiz - review sample space, intersection, union and counting techniques

Sept 21

Permutations, combinations, fundamental counting principle

Sept 22

Review quiz, range of probability values, conditional probability, tree diagrams

Sept 28

Binomial distribution -- independent events with same p AND only two possible outcomes

Sept 30 Geometric & Poisson distributions
Oct 1 Binomial, Geometric, & Poisson review
Oct 3 Little surprise quiz covering binomial distributions
  Review binomial probabilities
  The Normal distribution -- Normalcdf(l,u) on TI-84
  Normal distribution continued -- using standard scores (z-scores)
   
Oct 13 Normal distributions as graphs, using the Normalcdf(l, u,mu, sigma) function where l = lower, u = upper,mu= mean, sigma = standard deviation AND the invNormal(p,mu, sigma) where p = percentage,mu= mean, and sigma = standard deviation
Oct 14 Continue normal distributions -- look at our class heights. Are we normally distributed?
 

Central limit theorem (normalizing scores based on sample size),  , and .

Quiz - Summary of normal distributions

Oct 17

More on central limit theorem, sampling distributions, and the normal distribution.

  Using normal distribution to approximate the binomial distribution
 

More on the normal distribution Test 2 Review and solutions

Oct 23

Test #2 -- covering chapters one through six and the first eight quizzes.

   
  Looking at Confidence Intervals -- 95% or 99% or ... Guess the weight of a 747. Guess an interval into which the weight of a 747 would fall.
 

Drawing samples and calculating confidence intervals, Z-interval or the t-interval. To Z or not to Z, that is the question!

  Alternate methods for finding confidence intervals (Zinterval and TInterval on TI calculator) AND it's my birthday -- sure hope someone brings treats!!
  Using proportions to create a confidence interval. Quiz - Comparing different confidence intervals
  Null hypothesis, alternative hypothesis, Type I error (falsely rejecting the null), and Type II error (failure to reject the null).
 

More errors -- Type I and / or Type II

 

Hypothesis testing -- using a Z-test. One-tailed and two-tailed tests

 

Hypothesis testing -- using a T-test. One-tailed and two-tailed tests

  Whoa, confidence intervals
  Fastest confidence intervals in the west -- who speeds more, math professors or stat students?
 

Critical values and test statistics

  When to use the normal distribution or t distribution on hypothesis testing. ALWAYS use t unless sigma is known!
 

Quiz - Critical values and language when rejecting, or failing to reject, the null hypothesis

  t-tests -- but not tea time! Two sampled T and Z tests -- population standard deviation unknown and population standard deviation known
  Two sample Z tests and T tests and two proportion Z tests and T tests
 

No class -- Student Scholarship and creative achievement conference

 

Scatter plots and linear correlation. Tying the knot and length linear regression

   
  No Class -- National Council of Teachers of Mathematics conference
 

Dr. Todd in Boston

  Watch out if you're Boston!!
Nov 30 Linear regression -- McNobel Prizes, Boston Marathon winning times, r and r-square values. Interpolation and extrapolation.
Dec 1

More with linear regression. STAT - TESTS - LinRegTTest will cure what ails ya matey!

Pirate's are interested in correlation -- Aaarrrrggghhhh (r=...)

Dec 1 Interesting correlations: http://tylervigen.com/
 

Slope, intercept, correlation coefficient, and interpretations of each

Test 3 Review and solutions (or at least my quickest best guests)

  Test #3
  Review for final exam -- return exams, look at final. Solutions to review
  No classes -- university assessment day
 

Review for final and course evaluations

Final Review and quiz solutions (to help with review)

  Reading day -- study hard for a statistics final exam near you!
  Dr. Todd has other finals
Dec 10 Final Exam from 3:30 - 5:30 pm in HS 233
   


Todd's Homepage | Todd's Favorite Links

 

updated 8/25/2015
by Todd Frauenholtz